3. [AC Circuit Analysis] Determine the steady-state AC value of Vx. Express your result in polar form with the angle in degrees. 0.2 H +) 2cos10t A 0.1 F
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- A circuit branch is found to have an equivalent impedance of Z=120−j45Ω. It is given that this impedance is a series combination of a 120Ω resistor and another passive component. If the circuit has a sinusoidal voltage source whose frequency is 120 Hz. What is the value of the component in series with the 120Ω resistor? (Note: Express the value assuming a metric scaling of μ(10-6). Provide your answer in decimal form, up to 3 decimal places.)The impedance of zl for the maximum average power transfer in the circuit shown in Figure 3and ZLfind the value of the maximum average power transferred to? (Can you write the steps in detail in sentences?)Please answer quickly "To perform phasor addition, its better expressed the phasors in polar form and add all the real compnents and add all the imaginary components separately to get the sum of the phasors." True False "Mathematically, in phase means that the phase angle of two waves are the same and its phase difference is 180." True False The functional transformation of ac electrical parameters from time domain to phasor domain representaion requires to get the RMS value of the electrical parameter and its phase angle to show its polar form representation. True False
- A voltage vC(t)=10 cos(2000πt) is applied to a 10-μF capacitance. Find the complex impedance of the capacitance. Find the phasor voltage and current, and construct a phasor diagram. Write the current as a function of time. Sketch the voltage and current to scale versus time. State the phase relationship between the current and voltage.Two sinusoidal voltages of the same frequency have rms values of 8 V and 3 V. What is the smallest rms value that the sum of these voltages could have? The largest? Justify your answers.Consider the voltage v(t)= 40sin(100πt+140 o ) V. a) Find the period of this voltage in millisecond and the voltage value at t=6 ms. b) This voltage is applied to the circuit below. Find VR , VC and VL phasors and and draw them on the realimaginary axis. Find vR(t) , vC(t) and vL(t) via inverse phasor, comment phase angles. c) Find active, reactive and complex power (P,Q,S) on the inductor.
- Three branches having impedances of 3+j4 Ω, 16−j12 Ω, and−j4 Ω, respectively, are connected in parallel. What are the equivalent(a) admittance, (b) conductance, and (c) susceptance of the parallelconnection in millisiemens? (d) If the parallel branches are excited froma sinusoidal current source where i=8 cosωt A, what is the maximumamplitude of the current in the purely capacitive branch?An industrial load consisting of a bank of induction motors consumes 50 kW at a power factor of 0.8 lagging from a 220-V,60-Hz, single-phase source. By placing a bank of capacitors in parallel with the load, the resultant power factor is to be raised to 0.95 lagging. Find the net capacitance of the capacitor bank in F that is required.The device is represented in the frequency domain bya Norton equivalent. When a resistor having an impedance of 5 kΩ isconnected across the device, the value of V0 is (5–j15) V. When acapacitor having an impedance of −j3 kΩ is connected across the device,the value of I0 is (4.5–j6) mA. Find the Norton current IN and theNorton impedance ZN
- Find the total impedance, voltage drop on the 100-ohm resistor, draw the phasor diagram of the voltage and current at R1, total power (apparent) delivered by the current source, draw the phasor diagram of the voltage and current at the source. Also, is the circuit inductive, capacitive, or neither (resistive)? please give the step-by-step solution NOTE: Polar form for Voltage & Current. Rectangular form for ImpedanceA series RLC circuit having values of ? = 250Ω, ? = 3??, and ? = 4?? is shunted across a sinusoidal voltage given by the expression ?(?) =200 sin(200?? − 16°) ?. Look for the following: a. The equivalent impedance of the connection b. The phasor and instantaneous current flowing through the connection c. Draw the phasor diagram of the supply voltage and the total current. What is the phase difference of the two? d. What is the phasor and instantaneous voltage across the capacitor? e. If a 75?? capacitor is shunted across the load, what is now the value of the equivalent impedance in the connection?Find the current of the resistor in the sinusoidal steady state (use phasors). L = 2H, R = 2Ω, ?(?)=4√2cos(?+75°), ?(?)=12sin(2?)